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Q: How many sides does the polygon have if it has an interior angle which is 3 times the exterior angle?

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Interior angle 156 degrees Exterior angle 24 degrees 360/24 = 15 sides

If interior angles are 177o then exterior angles are 3o. Exterior angle times number of sides is always 360 so the polygon has 120 sides.

Smallest possible interior angle of regular polygon is 60 degrees (triangle). The greater the number of sides, the greater each interior angle. If exterior angle is 30 degrees, the polygon has 12 sides.

Interior angle = 174 so exterior angle = 180-174 = 6 degrees. Therefore, number of sides = 360/exterior angle = 360/6 = 60 sides.

The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=15, then the answer is thatthe interior angle = 12x13 =156The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 15, then the answer is that the exterior angle = 24

Related questions

An exterior angle of a polygon is the supplement of the corresponding interior angle. The exterior angle is the angle between an extended sides of the polygon and the next side of the polygon.

A regular polygon of 30 sides will each have an exterior angle of 12 degrees and an interior angle of 168 degrees.

If the polygon has n sides, each exterior angle is 360/n degrees.The interior angle is 180 less exterior angle.

180-interior angle = exterior angle 360/exterior angle = number of sides

Exterior angle regular polygon = 360° ÷ number of sides = 360° ÷ W Interior angle regular polygon = 180° - exterior angle regular polygon = 180° - (360° ÷ number of sides ) = 180° - (360° ÷ W)

Interior angle = 120 degrees Exterior angle = 60 degrees

180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle

Interior angle 156 degrees Exterior angle 24 degrees 360/24 = 15 sides

Exterior angle 12 degrees Interior angle 168 degrees

180-interior angle = exterior angle 360/exterior angle = number of sides

Each exterior angle of a regular polygon with n sides is 360/n degrees. Each interior angle of a regular polygon is 180 - Exterior angle. A direct formula for the interior angle is 180*(n-2)/n degrees.

Each interior angle is 165 degrees Each exterior angle is 15 degrees

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